kilobytes = 75.4962216163820 q = 3 m = 7 n = 1436 s = 0 t = 26 u = 52 k = 1072 w = 39 ciphertext = [0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2] recovered_plaintext_using_secret_key = True pubkeycol364 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol365 = [2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol366 = [0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol367 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol368 = [2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol369 = [0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol370 = [2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol371 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol372 = [2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol373 = [2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol374 = [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol375 = [0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol376 = [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol377 = [1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol378 = [2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol379 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol380 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol381 = [1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol382 = [0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol383 = [0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1] pubkeycol384 = [1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol385 = [1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol386 = [1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol387 = [2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol388 = [1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol389 = [1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol390 = [0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol391 = [2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol392 = [0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol393 = [2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol394 = [1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol395 = [2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol396 = [1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol397 = [0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol398 = [1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol399 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol400 = [1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol401 = [2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol402 = [2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol403 = [1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol404 = [1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1] pubkeycol405 = [2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol406 = [1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol407 = [0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol408 = [1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol409 = [0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol410 = [1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol411 = [2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol412 = [1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol413 = [1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol414 = [2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol415 = [1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol416 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol417 = [0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol418 = [0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0] pubkeycol419 = [2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol420 = [1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1] pubkeycol421 = [1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol422 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol423 = [2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol424 = [1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol425 = [1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol426 = [2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol427 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol428 = [1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol429 = [1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol430 = [1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol431 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol432 = [1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol433 = [1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol434 = [1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol435 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol436 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol437 = [0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol438 = [2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol439 = [2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol440 = [1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol441 = [0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol442 = [0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol443 = [0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol444 = [1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol445 = [1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol446 = [1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol447 = [0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol448 = [2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol449 = [0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol450 = [2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol451 = [2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol452 = [1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol453 = [2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol454 = [0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol455 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol456 = [1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol457 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol458 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol459 = [0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol460 = [1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol461 = [0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol462 = [0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol463 = [0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol464 = [0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol465 = [0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol466 = [2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol467 = [2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol468 = [2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol469 = [1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol470 = [0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol471 = [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol472 = [0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol473 = [0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol474 = [2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol475 = [0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol476 = [2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol477 = [1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol478 = [0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol479 = [0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol480 = [1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol481 = [0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol482 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol483 = [0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol484 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol485 = [1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol486 = [0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol487 = [1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol488 = [0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol489 = [0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol490 = [2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol491 = [1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol492 = [1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol493 = [0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol494 = [2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol495 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2] pubkeycol496 = [1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol497 = [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol498 = [2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol499 = [1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol500 = [0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol501 = [1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol502 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol503 = [1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol504 = [1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol505 = [2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol506 = [0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol507 = [2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol508 = [1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol509 = [2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol510 = [1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol511 = [2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol512 = [0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol513 = [0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol514 = [2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol515 = [2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol516 = [1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol517 = [0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol518 = [0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol519 = [0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol520 = [1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol521 = [1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol522 = [1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol523 = [1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol524 = [2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol525 = [0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol526 = [2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol527 = [1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol528 = [1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol529 = [0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol530 = [0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol531 = [0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol532 = [2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol533 = [2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol534 = [2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol535 = [1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol536 = [2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol537 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol538 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol539 = [0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol540 = [1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol541 = [0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol542 = [2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol543 = [2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol544 = [0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol545 = [1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol546 = [2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol547 = [1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol548 = [2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol549 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol550 = [1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol551 = [0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol552 = [1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol553 = [1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol554 = [1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol555 = [0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol556 = [1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol557 = [2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol558 = [2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol559 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol560 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol561 = [1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol562 = [0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2] pubkeycol563 = [0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol564 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol565 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol566 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol567 = [0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol568 = [2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol569 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol570 = [1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol571 = [0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol572 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol573 = [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol574 = [2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2] pubkeycol575 = [2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol576 = [2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol577 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol578 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol579 = [0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol580 = [0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol581 = [0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0] pubkeycol582 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol583 = [0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol584 = [0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol585 = [1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol586 = [1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol587 = [2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol588 = [2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2] pubkeycol589 = [2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol590 = [1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol591 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol592 = [1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol593 = [0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol594 = [1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol595 = [1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol596 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol597 = [2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol598 = [0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2] pubkeycol599 = [1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol600 = [1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1] pubkeycol601 = [1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol602 = [0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol603 = [2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol604 = [1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol605 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol606 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol607 = [0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol608 = [2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1] pubkeycol609 = [2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol610 = [2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol611 = [0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol612 = [2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol613 = [0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol614 = [0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol615 = [2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol616 = [0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol617 = [1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol618 = [2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0] pubkeycol619 = [0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol620 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol621 = [0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol622 = [2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol623 = [1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol624 = [0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol625 = [0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2] pubkeycol626 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol627 = [1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol628 = [0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol629 = [2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol630 = [2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol631 = [1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol632 = [2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol633 = [1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol634 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2] pubkeycol635 = [0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol636 = [1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol637 = [1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol638 = [1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol639 = [2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0] pubkeycol640 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol641 = [1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol642 = [2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol643 = [0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol644 = [0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol645 = [1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol646 = [0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol647 = [0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol648 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol649 = [0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol650 = [2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol651 = [0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol652 = [1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol653 = [2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol654 = [0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol655 = [1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1] pubkeycol656 = [0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol657 = [2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol658 = [2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol659 = [2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol660 = [2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol661 = [1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol662 = [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol663 = [0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol664 = [2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol665 = [2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol666 = [1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol667 = [2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol668 = [0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol669 = [1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol670 = [2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol671 = [0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol672 = [1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol673 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol674 = [2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1] pubkeycol675 = [2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol676 = [0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol677 = [1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol678 = [2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol679 = [1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol680 = [1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol681 = [0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol682 = [0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol683 = [1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol684 = [1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol685 = [1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol686 = [1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol687 = [0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol688 = [1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol689 = [0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol690 = [1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol691 = [2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol692 = [0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol693 = [2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol694 = [1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol695 = [0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2] pubkeycol696 = [0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0] pubkeycol697 = [1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol698 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol699 = [1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol700 = [2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol701 = [1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2] pubkeycol702 = [1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol703 = [0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol704 = [0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol705 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol706 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol707 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol708 = [0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol709 = [0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol710 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol711 = [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol712 = [1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1] pubkeycol713 = [2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol714 = [1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol715 = [2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol716 = [2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol717 = [0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol718 = [2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol719 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol720 = [1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol721 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol722 = [2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol723 = [0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2] pubkeycol724 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol725 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol726 = [2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol727 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol728 = [2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol729 = [1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol730 = [1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol731 = [0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol732 = [2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol733 = [1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol734 = [2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol735 = [2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol736 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol737 = [2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol738 = [2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol739 = [0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol740 = [2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol741 = [2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol742 = [1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol743 = [2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol744 = [2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol745 = [0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol746 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol747 = [2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol748 = [1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol749 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1] pubkeycol750 = [1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol751 = [0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol752 = [0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol753 = [0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol754 = [0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol755 = [2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol756 = [2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol757 = [2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol758 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol759 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1] pubkeycol760 = [0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol761 = [2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol762 = [0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol763 = [1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol764 = [0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol765 = [2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol766 = [1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol767 = [2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1] pubkeycol768 = [2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol769 = [0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol770 = [2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol771 = [0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol772 = [0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2] pubkeycol773 = [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol774 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol775 = [2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol776 = [1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol777 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0] pubkeycol778 = [0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol779 = [1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol780 = [2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol781 = [1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol782 = [1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol783 = [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol784 = [1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol785 = [2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol786 = [1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol787 = [0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol788 = [1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol789 = [2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol790 = [0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol791 = [0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol792 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol793 = [2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol794 = [0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2] pubkeycol795 = [0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol796 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol797 = [1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol798 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol799 = [1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol800 = [2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol801 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol802 = [1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol803 = [0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol804 = [1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol805 = [2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol806 = [0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol807 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol808 = [2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol809 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol810 = [1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol811 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1] pubkeycol812 = [1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol813 = [2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol814 = [2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol815 = [1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol816 = [2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol817 = [2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol818 = [0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol819 = [0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol820 = [2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol821 = [2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol822 = [2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol823 = [0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol824 = [0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol825 = [1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol826 = [0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol827 = [0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol828 = [0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol829 = [2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol830 = [0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0] pubkeycol831 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol832 = [1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol833 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol834 = [1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0] pubkeycol835 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2] pubkeycol836 = [1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol837 = [1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol838 = [1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol839 = [0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol840 = [2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol841 = [0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol842 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol843 = [1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol844 = [0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol845 = [2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol846 = [0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol847 = [2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0] pubkeycol848 = [0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol849 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol850 = [0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol851 = [1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol852 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol853 = [2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol854 = [0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol855 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol856 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol857 = [1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol858 = [1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol859 = [2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol860 = [1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol861 = [0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol862 = [1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol863 = [1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol864 = [0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol865 = [1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol866 = [0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol867 = [1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol868 = [1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol869 = [2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol870 = [2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol871 = [1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol872 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol873 = [0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol874 = [0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol875 = [2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol876 = [1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol877 = [2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol878 = [1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol879 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol880 = [0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2] pubkeycol881 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol882 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol883 = [2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol884 = [1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol885 = [2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol886 = [1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol887 = [0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol888 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2] pubkeycol889 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2] pubkeycol890 = [0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol891 = [1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol892 = [0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol893 = [0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0] pubkeycol894 = [2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol895 = [0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1] pubkeycol896 = [1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1] pubkeycol897 = [1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol898 = [2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol899 = [1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol900 = [1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol901 = [1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol902 = [0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol903 = [1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol904 = [1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0] pubkeycol905 = [2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol906 = [2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol907 = [0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol908 = [2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol909 = [0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol910 = [1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol911 = [2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol912 = [2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0] pubkeycol913 = [1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol914 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol915 = [2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol916 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol917 = [2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol918 = [2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol919 = [2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol920 = [0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol921 = [2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol922 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol923 = [2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol924 = [1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol925 = [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol926 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1] pubkeycol927 = [0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol928 = [0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol929 = [1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol930 = [1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol931 = [0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol932 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol933 = [0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol934 = [1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol935 = [0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol936 = [0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol937 = [0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol938 = [2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol939 = [0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol940 = [0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol941 = [0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol942 = [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol943 = [2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol944 = [0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol945 = [1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol946 = [2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1] pubkeycol947 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol948 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol949 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol950 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol951 = [2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol952 = [0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol953 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol954 = [2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol955 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1] pubkeycol956 = [2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol957 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol958 = [2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol959 = [1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol960 = [0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol961 = [2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol962 = [2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol963 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol964 = [0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol965 = [0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol966 = [1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2] pubkeycol967 = [2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol968 = [0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol969 = [0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol970 = [1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol971 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol972 = [2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol973 = [1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2] pubkeycol974 = [1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol975 = [0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol976 = [2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol977 = [1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol978 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0] pubkeycol979 = [2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol980 = [2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol981 = [1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol982 = [2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol983 = [2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol984 = [1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol985 = [0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol986 = [2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol987 = [2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol988 = [1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol989 = [1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol990 = [2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol991 = [1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol992 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol993 = [1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol994 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol995 = [2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol996 = [1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol997 = [1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0] pubkeycol998 = [2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol999 = [0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol1000 = [1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1001 = [1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol1002 = [2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol1003 = [0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol1004 = [1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol1005 = [0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol1006 = [1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol1007 = [0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol1008 = [0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol1009 = [2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol1010 = [2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol1011 = [0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1012 = [0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol1013 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol1014 = [2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol1015 = [0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol1016 = [2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol1017 = [0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1018 = [1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol1019 = [0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol1020 = [2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol1021 = [0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol1022 = [0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol1023 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol1024 = [0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol1025 = [1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol1026 = [0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol1027 = [1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol1028 = [2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol1029 = [1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol1030 = [0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol1031 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol1032 = [0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol1033 = [2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol1034 = [0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol1035 = [0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1036 = [0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol1037 = [0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol1038 = [1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1039 = [2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol1040 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1] pubkeycol1041 = [1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol1042 = [1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol1043 = [0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol1044 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol1045 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2] pubkeycol1046 = [0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol1047 = [2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol1048 = [0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol1049 = [2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol1050 = [2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1051 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol1052 = [1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1053 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol1054 = [1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol1055 = [2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol1056 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol1057 = [1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1] pubkeycol1058 = [2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol1059 = [1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol1060 = [2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol1061 = [1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol1062 = [2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol1063 = [1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2] pubkeycol1064 = [2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol1065 = [0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol1066 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol1067 = [1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol1068 = [2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol1069 = [1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0] pubkeycol1070 = [1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol1071 = [1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol1072 = [1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol1073 = [2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol1074 = [2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol1075 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol1076 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol1077 = [0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1078 = [2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol1079 = [0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol1080 = [0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol1081 = [0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol1082 = [0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol1083 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol1084 = [1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol1085 = [1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2] pubkeycol1086 = [0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol1087 = [2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol1088 = [1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol1089 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1] pubkeycol1090 = [0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol1091 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol1092 = [1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol1093 = [1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol1094 = [1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol1095 = [1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol1096 = [0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2] pubkeycol1097 = [2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol1098 = [2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol1099 = [0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol1100 = [2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol1101 = [2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol1102 = [2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol1103 = [0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol1104 = [1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol1105 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol1106 = [1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol1107 = [1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol1108 = [0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0] pubkeycol1109 = [2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol1110 = [2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol1111 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol1112 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol1113 = [0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol1114 = [0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol1115 = [1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol1116 = [1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol1117 = [2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol1118 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol1119 = [2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol1120 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol1121 = [0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol1122 = [0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2] pubkeycol1123 = [0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2] pubkeycol1124 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol1125 = [1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol1126 = [2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol1127 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol1128 = [1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol1129 = [2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol1130 = [1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol1131 = [1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol1132 = [0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol1133 = [0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol1134 = [2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol1135 = [2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1136 = [2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol1137 = [2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol1138 = [0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol1139 = [2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol1140 = [0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol1141 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0] pubkeycol1142 = [2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2] pubkeycol1143 = [1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol1144 = [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol1145 = [0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol1146 = [1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol1147 = [0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol1148 = [0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol1149 = [2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol1150 = [2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol1151 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol1152 = [0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol1153 = [2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol1154 = [1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol1155 = [0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol1156 = [0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol1157 = [1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol1158 = [0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol1159 = [2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol1160 = [1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol1161 = [0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol1162 = [2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol1163 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol1164 = [2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol1165 = [1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol1166 = [2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol1167 = [1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol1168 = [0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol1169 = [2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol1170 = [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol1171 = [0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol1172 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol1173 = [1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol1174 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol1175 = [0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol1176 = [0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol1177 = [0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol1178 = [2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol1179 = [0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol1180 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol1181 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol1182 = [1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol1183 = [2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol1184 = [2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol1185 = [0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol1186 = [0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol1187 = [0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol1188 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol1189 = [2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol1190 = [1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1] pubkeycol1191 = [1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol1192 = [0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol1193 = [1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol1194 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol1195 = [2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol1196 = [1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol1197 = [2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2] pubkeycol1198 = [2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol1199 = [1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol1200 = [1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2] pubkeycol1201 = [2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol1202 = [0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2] pubkeycol1203 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol1204 = [0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1205 = [1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0] pubkeycol1206 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2] pubkeycol1207 = [0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0] pubkeycol1208 = [0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol1209 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol1210 = [0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol1211 = [1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol1212 = [1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol1213 = [0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol1214 = [0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol1215 = [0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol1216 = [2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol1217 = [1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1] pubkeycol1218 = [0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol1219 = [2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1220 = [1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2] pubkeycol1221 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol1222 = [0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol1223 = [0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol1224 = [0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol1225 = [0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol1226 = [2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol1227 = [1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol1228 = [1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol1229 = [2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol1230 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol1231 = [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol1232 = [2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1233 = [2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol1234 = [1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol1235 = [0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol1236 = [2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol1237 = [2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol1238 = [1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol1239 = [0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol1240 = [2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol1241 = [1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol1242 = [0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol1243 = [2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol1244 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol1245 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol1246 = [1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1] pubkeycol1247 = [2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol1248 = [1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol1249 = [0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol1250 = [2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol1251 = [0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol1252 = [1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1] pubkeycol1253 = [1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol1254 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1] pubkeycol1255 = [2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol1256 = [0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol1257 = [1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol1258 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol1259 = [0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol1260 = [0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol1261 = [1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol1262 = [0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol1263 = [2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1] pubkeycol1264 = [1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1265 = [1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2] pubkeycol1266 = [0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1267 = [0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2] pubkeycol1268 = [2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol1269 = [0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol1270 = [0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol1271 = [0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol1272 = [1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol1273 = [0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol1274 = [0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol1275 = [2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol1276 = [2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol1277 = [0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol1278 = [2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol1279 = [0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol1280 = [2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol1281 = [1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol1282 = [1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol1283 = [2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol1284 = [2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0] pubkeycol1285 = [0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol1286 = [0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol1287 = [0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol1288 = [1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol1289 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol1290 = [1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol1291 = [0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol1292 = [1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol1293 = [1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol1294 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol1295 = [0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol1296 = [1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol1297 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol1298 = [0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol1299 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol1300 = [1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol1301 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol1302 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2] pubkeycol1303 = [2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol1304 = [0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol1305 = [0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol1306 = [2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol1307 = [1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol1308 = [0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol1309 = [2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol1310 = [2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol1311 = [0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol1312 = [0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1] pubkeycol1313 = [0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol1314 = [2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol1315 = [2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol1316 = [1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol1317 = [1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol1318 = [2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1] pubkeycol1319 = [2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2] pubkeycol1320 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol1321 = [2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol1322 = [1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol1323 = [1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol1324 = [2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol1325 = [2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol1326 = [0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol1327 = [0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol1328 = [2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol1329 = [2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol1330 = [0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2] pubkeycol1331 = [2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol1332 = [2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1] pubkeycol1333 = [0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol1334 = [0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol1335 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1336 = [0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol1337 = [1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol1338 = [2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1339 = [2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol1340 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol1341 = [1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol1342 = [1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2] pubkeycol1343 = [2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0] pubkeycol1344 = [2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol1345 = [0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol1346 = [2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol1347 = [1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol1348 = [0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1349 = [1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1] pubkeycol1350 = [2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol1351 = [2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0] pubkeycol1352 = [0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol1353 = [2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1] pubkeycol1354 = [2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol1355 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2] pubkeycol1356 = [0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol1357 = [1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol1358 = [1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol1359 = [0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol1360 = [2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol1361 = [0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol1362 = [2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol1363 = [2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2] pubkeycol1364 = [0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2] pubkeycol1365 = [0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol1366 = [1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2] pubkeycol1367 = [0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol1368 = [1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2] pubkeycol1369 = [1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol1370 = [2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol1371 = [0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol1372 = [1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol1373 = [2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol1374 = [1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1375 = [1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1376 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol1377 = [0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol1378 = [2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol1379 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol1380 = [2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1] pubkeycol1381 = [0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol1382 = [2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol1383 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol1384 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2] pubkeycol1385 = [0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol1386 = [0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol1387 = [1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1388 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol1389 = [1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol1390 = [2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1391 = [0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0] pubkeycol1392 = [2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol1393 = [1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol1394 = [0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol1395 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol1396 = [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0] pubkeycol1397 = [1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol1398 = [2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0] pubkeycol1399 = [1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol1400 = [2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol1401 = [0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2] pubkeycol1402 = [1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol1403 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol1404 = [0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol1405 = [0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol1406 = [1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2] pubkeycol1407 = [1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol1408 = [1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol1409 = [2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol1410 = [0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol1411 = [0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol1412 = [1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1] pubkeycol1413 = [1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2] pubkeycol1414 = [1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol1415 = [0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol1416 = [0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol1417 = [2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol1418 = [0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol1419 = [2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol1420 = [1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol1421 = [2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1422 = [0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol1423 = [0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0] pubkeycol1424 = [2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol1425 = [0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0] pubkeycol1426 = [1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol1427 = [0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol1428 = [0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol1429 = [2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol1430 = [2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol1431 = [1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol1432 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol1433 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol1434 = [1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol1435 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0]