kilobytes = 79.9330331479417 q = 3 m = 7 n = 1499 s = 0 t = 26 u = 52 k = 1135 w = 39 ciphertext = [2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol364 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol365 = [1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol366 = [2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol367 = [2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol368 = [1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol369 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol370 = [1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2] pubkeycol371 = [2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol372 = [2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0] pubkeycol373 = [0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol374 = [2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol375 = [0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol376 = [2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol377 = [1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol378 = [1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol379 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0] pubkeycol380 = [2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol381 = [2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol382 = [1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol383 = [2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol384 = [2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol385 = [2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol386 = [1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol387 = [2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol388 = [1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol389 = [1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol390 = [0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol391 = [2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol392 = [0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol393 = [2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol394 = [0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol395 = [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol396 = [0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol397 = [1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol398 = [2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol399 = [2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol400 = [1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol401 = [0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1] pubkeycol402 = [2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol403 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol404 = [2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol405 = [1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol406 = [0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol407 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2] pubkeycol408 = [0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol409 = [1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol410 = [0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol411 = [2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol412 = [2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol413 = [0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol414 = [2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol415 = [0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol416 = [0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol417 = [2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2] pubkeycol418 = [0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol419 = [1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol420 = [1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol421 = [0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol422 = [2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol423 = [0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol424 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol425 = [0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol426 = [1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol427 = [2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol428 = [2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol429 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol430 = [1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol431 = [1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2] pubkeycol432 = [2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol433 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol434 = [1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol435 = [2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1] pubkeycol436 = [2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol437 = [2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol438 = [1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol439 = [2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol440 = [2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol441 = [1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol442 = [1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2] pubkeycol443 = [1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol444 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol445 = [0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol446 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol447 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol448 = [0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol449 = [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol450 = [2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol451 = [2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2] pubkeycol452 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol453 = [0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol454 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol455 = [2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol456 = [2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol457 = [1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol458 = [1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol459 = [0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol460 = [1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol461 = [0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol462 = [2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol463 = [1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol464 = [1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol465 = [0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol466 = [0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol467 = [1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol468 = [0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol469 = [1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0] pubkeycol470 = [2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol471 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0] pubkeycol472 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol473 = [1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol474 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol475 = [0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol476 = [1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol477 = [0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol478 = [2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol479 = [1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol480 = [0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol481 = [1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol482 = [2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol483 = [1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol484 = [0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol485 = [0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol486 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol487 = [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol488 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol489 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0] pubkeycol490 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol491 = [2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol492 = [2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2] pubkeycol493 = [1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol494 = [0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol495 = [0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol496 = [2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol497 = [0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol498 = [2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol499 = [1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol500 = [0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1] pubkeycol501 = [0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol502 = [0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol503 = [0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol504 = [1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0] pubkeycol505 = [0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol506 = [0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol507 = [0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol508 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol509 = [0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2] pubkeycol510 = [2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol511 = [2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol512 = [1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol513 = [2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol514 = [1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol515 = [2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol516 = [0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol517 = [2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol518 = [2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol519 = [1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol520 = [2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol521 = [2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol522 = [0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol523 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol524 = [0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol525 = [1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol526 = [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol527 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol528 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol529 = [1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol530 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol531 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol532 = [0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol533 = [1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol534 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol535 = [1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol536 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol537 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol538 = [1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol539 = [1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol540 = [2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol541 = [1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol542 = [1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol543 = [0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol544 = [2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol545 = [2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol546 = [0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol547 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol548 = [2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2] pubkeycol549 = [0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol550 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol551 = [0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol552 = [0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol553 = [0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol554 = [1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol555 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol556 = [1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol557 = [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol558 = [1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0] pubkeycol559 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol560 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol561 = [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol562 = [0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol563 = [0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol564 = [2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol565 = [0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol566 = [1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol567 = [2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol568 = [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol569 = [0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol570 = [1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0] pubkeycol571 = [2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol572 = [2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol573 = [2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol574 = [0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol575 = [0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol576 = [2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol577 = [0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol578 = [1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol579 = [2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2] pubkeycol580 = [1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol581 = [2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol582 = [2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol583 = [0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol584 = [1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1] pubkeycol585 = [0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol586 = [0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol587 = [0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol588 = [1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol589 = [2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol590 = [1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol591 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol592 = [2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol593 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol594 = [0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0] pubkeycol595 = [1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol596 = [1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol597 = [0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol598 = [0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol599 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol600 = [0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol601 = [2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol602 = [2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol603 = [0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol604 = [1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol605 = [0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol606 = [0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol607 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol608 = [1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol609 = [2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol610 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol611 = [1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol612 = [2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol613 = [0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol614 = [2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol615 = [0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol616 = [0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2] pubkeycol617 = [0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol618 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol619 = [1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol620 = [0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0] pubkeycol621 = [2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol622 = [0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol623 = [0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol624 = [0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol625 = [1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1] pubkeycol626 = [0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol627 = [1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol628 = [0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol629 = [2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol630 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol631 = [2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol632 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol633 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol634 = [0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol635 = [1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol636 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol637 = [2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol638 = [1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol639 = [0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2] pubkeycol640 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol641 = [2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol642 = [2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol643 = [1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol644 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol645 = [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0] pubkeycol646 = [2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol647 = [0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol648 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol649 = [2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol650 = [0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol651 = [0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol652 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol653 = [1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol654 = [2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0] pubkeycol655 = [1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol656 = [2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol657 = [0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol658 = [1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0] pubkeycol659 = [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol660 = [2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0] pubkeycol661 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol662 = [0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol663 = [2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol664 = [1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol665 = [2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2] pubkeycol666 = [2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol667 = [2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol668 = [1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol669 = [2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol670 = [1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol671 = [1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol672 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol673 = [0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol674 = [0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol675 = [2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol676 = [1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol677 = [0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol678 = [1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol679 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol680 = [1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol681 = [2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1] pubkeycol682 = [1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol683 = [1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol684 = [0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol685 = [2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0] pubkeycol686 = [0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol687 = [0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol688 = [0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol689 = [1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol690 = [1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol691 = [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol692 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol693 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol694 = [1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol695 = [2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol696 = [0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol697 = [0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol698 = [2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol699 = [0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol700 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol701 = [1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol702 = [1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol703 = [2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2] pubkeycol704 = [2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol705 = [0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol706 = [2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2] pubkeycol707 = [1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol708 = [2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol709 = [0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol710 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol711 = [1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol712 = [2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol713 = [0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol714 = [2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol715 = [2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol716 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol717 = [2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol718 = [1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol719 = [2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol720 = [1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol721 = [2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol722 = [2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol723 = [0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol724 = [1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol725 = [1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol726 = [0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol727 = [2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol728 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol729 = [1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol730 = [0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol731 = [1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol732 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol733 = [1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1] pubkeycol734 = [2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol735 = [2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol736 = [1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol737 = [2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol738 = [1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol739 = [0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol740 = [1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol741 = [2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol742 = [1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol743 = [2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol744 = [1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol745 = [0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol746 = [2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1] pubkeycol747 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol748 = [2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol749 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol750 = [1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol751 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1] pubkeycol752 = [1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol753 = [1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0] pubkeycol754 = [2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol755 = [0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1] pubkeycol756 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol757 = [1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol758 = [0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol759 = [1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol760 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol761 = [0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1] pubkeycol762 = [0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol763 = [2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol764 = [0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2] pubkeycol765 = [0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol766 = [2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol767 = [2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol768 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol769 = [1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol770 = [0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol771 = [1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol772 = [0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol773 = [1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol774 = [0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2] pubkeycol775 = [2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol776 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol777 = [1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0] pubkeycol778 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol779 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol780 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol781 = [0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol782 = [2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol783 = [1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol784 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol785 = [0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol786 = [2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol787 = [2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol788 = [0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol789 = [1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol790 = [1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol791 = [2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2] pubkeycol792 = [2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol793 = [2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol794 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol795 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol796 = [1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol797 = [0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2] pubkeycol798 = [1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol799 = [1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol800 = [1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol801 = [1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol802 = [2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol803 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol804 = [1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol805 = [1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol806 = [2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol807 = [1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol808 = [0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol809 = [0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol810 = [2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol811 = [0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol812 = [0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol813 = [2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol814 = [2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol815 = [2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol816 = [0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol817 = [0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol818 = [2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2] pubkeycol819 = [1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol820 = [0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0] pubkeycol821 = [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol822 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol823 = [2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol824 = [0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol825 = [0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol826 = [2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0] pubkeycol827 = [0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol828 = [2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol829 = [0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol830 = [1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol831 = [0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol832 = [0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol833 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol834 = [0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol835 = [0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol836 = [2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol837 = [0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol838 = [0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1] pubkeycol839 = [2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol840 = [2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol841 = [1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol842 = [1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol843 = [0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol844 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol845 = [0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol846 = [2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol847 = [2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol848 = [1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol849 = [1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol850 = [1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol851 = [0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol852 = [2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol853 = [2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol854 = [1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol855 = [0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol856 = [1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol857 = [2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol858 = [2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol859 = [1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol860 = [2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol861 = [2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol862 = [0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol863 = [1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol864 = [0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0] pubkeycol865 = [0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol866 = [0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol867 = [1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol868 = [0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol869 = [2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol870 = [1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol871 = [0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol872 = [2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol873 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol874 = [1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol875 = [0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol876 = [2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol877 = [2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1] pubkeycol878 = [2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol879 = [1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2] pubkeycol880 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2] pubkeycol881 = [0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol882 = [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol883 = [1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol884 = [1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol885 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol886 = [0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol887 = [0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol888 = [2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol889 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol890 = [1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol891 = [2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol892 = [0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol893 = [1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol894 = [1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2] pubkeycol895 = [2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol896 = [1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol897 = [1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol898 = [0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol899 = [1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol900 = [1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol901 = [0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol902 = [1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol903 = [0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol904 = [0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol905 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol906 = [1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol907 = [1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol908 = [1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol909 = [1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol910 = [1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol911 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol912 = [2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol913 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol914 = [1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol915 = [0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1] pubkeycol916 = [2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol917 = [1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol918 = [1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol919 = [0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol920 = [0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol921 = [1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol922 = [2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol923 = [1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol924 = [1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0] pubkeycol925 = [2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol926 = [2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol927 = [1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol928 = [0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol929 = [0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol930 = [2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol931 = [2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol932 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol933 = [0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2] pubkeycol934 = [0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol935 = [0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol936 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol937 = [0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol938 = [0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol939 = [0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0] pubkeycol940 = [0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol941 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol942 = [1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0] pubkeycol943 = [0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol944 = [2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol945 = [0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol946 = [2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol947 = [2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol948 = [2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol949 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol950 = [1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol951 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol952 = [0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol953 = [0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol954 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol955 = [2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol956 = [2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol957 = [1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol958 = [0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol959 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol960 = [2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol961 = [0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol962 = [0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol963 = [2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol964 = [2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol965 = [0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol966 = [0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol967 = [1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol968 = [0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2] pubkeycol969 = [0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol970 = [1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol971 = [0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol972 = [0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol973 = [0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2] pubkeycol974 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol975 = [1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol976 = [0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol977 = [2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol978 = [0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol979 = [1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol980 = [0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol981 = [2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol982 = [0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol983 = [2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol984 = [2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol985 = [1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol986 = [1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol987 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1] pubkeycol988 = [1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol989 = [2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol990 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol991 = [0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol992 = [0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol993 = [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol994 = [1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol995 = [1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol996 = [0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol997 = [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol998 = [1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol999 = [1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol1000 = [0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol1001 = [0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol1002 = [1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol1003 = [2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2] pubkeycol1004 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol1005 = [1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol1006 = [1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1] pubkeycol1007 = [0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2] pubkeycol1008 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol1009 = [2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol1010 = [0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1011 = [1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol1012 = [1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol1013 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0] pubkeycol1014 = [0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol1015 = [1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol1016 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol1017 = [0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol1018 = [1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol1019 = [0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1020 = [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol1021 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol1022 = [1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol1023 = [0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol1024 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol1025 = [2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0] pubkeycol1026 = [0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol1027 = [1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol1028 = [1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol1029 = [1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol1030 = [2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol1031 = [0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol1032 = [1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol1033 = [2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol1034 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2] pubkeycol1035 = [1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1] pubkeycol1036 = [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1037 = [2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol1038 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol1039 = [2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol1040 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1041 = [0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol1042 = [0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol1043 = [0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol1044 = [1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol1045 = [2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2] pubkeycol1046 = [2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol1047 = [1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol1048 = [2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol1049 = [2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol1050 = [0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol1051 = [1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol1052 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol1053 = [0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol1054 = [0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol1055 = [1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol1056 = [0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1] pubkeycol1057 = [2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol1058 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol1059 = [2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol1060 = [2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol1061 = [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol1062 = [1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol1063 = [0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1064 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol1065 = [0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol1066 = [1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2] pubkeycol1067 = [2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol1068 = [1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol1069 = [2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol1070 = [1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol1071 = [2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol1072 = [0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1073 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1] pubkeycol1074 = [1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol1075 = [0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol1076 = [1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1] pubkeycol1077 = [0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol1078 = [0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol1079 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol1080 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol1081 = [1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol1082 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol1083 = [1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol1084 = [0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol1085 = [1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol1086 = [0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1087 = [0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol1088 = [0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol1089 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol1090 = [1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol1091 = [2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol1092 = [2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol1093 = [1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol1094 = [2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol1095 = [1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol1096 = [1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1097 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol1098 = [0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2] pubkeycol1099 = [0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol1100 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol1101 = [1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0] pubkeycol1102 = [2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol1103 = [1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol1104 = [2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol1105 = [0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol1106 = [2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol1107 = [1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol1108 = [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol1109 = [2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol1110 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol1111 = [0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol1112 = [2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2] pubkeycol1113 = [0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1] pubkeycol1114 = [0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol1115 = [2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol1116 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0] pubkeycol1117 = [2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol1118 = [0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol1119 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol1120 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol1121 = [2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol1122 = [1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol1123 = [2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol1124 = [2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol1125 = [2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol1126 = [2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol1127 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol1128 = [1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol1129 = [0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol1130 = [0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol1131 = [0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol1132 = [2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2] pubkeycol1133 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol1134 = [0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol1135 = [1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1] pubkeycol1136 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol1137 = [1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol1138 = [2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol1139 = [1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol1140 = [0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol1141 = [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol1142 = [0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol1143 = [2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol1144 = [2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol1145 = [2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol1146 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol1147 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol1148 = [2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1149 = [1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol1150 = [2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol1151 = [0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol1152 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0] pubkeycol1153 = [2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol1154 = [1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol1155 = [2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol1156 = [2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol1157 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol1158 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol1159 = [1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol1160 = [1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1161 = [1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol1162 = [1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol1163 = [0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol1164 = [1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol1165 = [0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol1166 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol1167 = [1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol1168 = [0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol1169 = [2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol1170 = [1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol1171 = [0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol1172 = [1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol1173 = [1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol1174 = [2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol1175 = [1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol1176 = [2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol1177 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1178 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol1179 = [2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol1180 = [0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol1181 = [0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol1182 = [0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol1183 = [1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol1184 = [1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol1185 = [0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol1186 = [2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol1187 = [2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol1188 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol1189 = [1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol1190 = [1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol1191 = [2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol1192 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol1193 = [1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol1194 = [0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol1195 = [2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol1196 = [2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol1197 = [0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1198 = [1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol1199 = [2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1] pubkeycol1200 = [2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol1201 = [0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol1202 = [2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol1203 = [2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol1204 = [0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol1205 = [2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol1206 = [1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol1207 = [2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol1208 = [2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol1209 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1210 = [0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol1211 = [2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol1212 = [0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol1213 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1] pubkeycol1214 = [2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol1215 = [1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol1216 = [0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0] pubkeycol1217 = [1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol1218 = [0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol1219 = [0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol1220 = [1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol1221 = [2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1222 = [1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol1223 = [1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol1224 = [2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol1225 = [2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1226 = [0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2] pubkeycol1227 = [1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol1228 = [1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol1229 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol1230 = [1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2] pubkeycol1231 = [1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol1232 = [2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol1233 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1] pubkeycol1234 = [1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol1235 = [2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1236 = [1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol1237 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0] pubkeycol1238 = [0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0] pubkeycol1239 = [2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol1240 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol1241 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2] pubkeycol1242 = [1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol1243 = [0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol1244 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol1245 = [1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol1246 = [2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol1247 = [2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol1248 = [0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol1249 = [1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol1250 = [0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol1251 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol1252 = [0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0] pubkeycol1253 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol1254 = [0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol1255 = [2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol1256 = [2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol1257 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1] pubkeycol1258 = [0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol1259 = [2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1] pubkeycol1260 = [1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol1261 = [2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol1262 = [0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol1263 = [1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol1264 = [2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol1265 = [0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol1266 = [0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol1267 = [0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol1268 = [2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol1269 = [1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol1270 = [0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol1271 = [2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol1272 = [1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol1273 = [0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1274 = [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol1275 = [2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol1276 = [1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol1277 = [0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol1278 = [2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol1279 = [1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol1280 = [1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol1281 = [2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1282 = [2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2] pubkeycol1283 = [2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol1284 = [1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol1285 = [0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol1286 = [0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol1287 = [0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol1288 = [2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol1289 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol1290 = [1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol1291 = [1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol1292 = [2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1293 = [1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol1294 = [1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol1295 = [2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1296 = [1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol1297 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol1298 = [0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol1299 = [1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol1300 = [2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol1301 = [2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol1302 = [2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol1303 = [1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1] pubkeycol1304 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol1305 = [2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol1306 = [1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol1307 = [1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2] pubkeycol1308 = [0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2