kilobytes = 143.944467893864 q = 3 m = 7 n = 2039 s = 0 t = 34 u = 68 k = 1563 w = 51 ciphertext = [2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol476 = [1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol477 = [2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol478 = [0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol479 = [0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol480 = [2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol481 = [1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol482 = [1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol483 = [0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol484 = [1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol485 = [1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol486 = [1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol487 = [0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol488 = [1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol489 = [1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol490 = [0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol491 = [1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol492 = [1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol493 = [0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol494 = [0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol495 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol496 = [1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol497 = [1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol498 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol499 = [2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol500 = [1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol501 = [0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol502 = [1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol503 = [0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol504 = [2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol505 = [1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol506 = [1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol507 = [2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol508 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol509 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol510 = [2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol511 = [0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol512 = [2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol513 = [0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol514 = [2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol515 = [2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol516 = [1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol517 = [2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol518 = [2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol519 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol520 = [0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol521 = [2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol522 = [1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol523 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol524 = [0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol525 = [0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol526 = [2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol527 = [1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol528 = [2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol529 = [0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol530 = [0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol531 = [2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol532 = [2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol533 = [1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol534 = [2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2] pubkeycol535 = [1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol536 = [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol537 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol538 = [0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol539 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol540 = [2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol541 = [1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1] pubkeycol542 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol543 = [1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol544 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol545 = [1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol546 = [0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol547 = [0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol548 = [2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol549 = [2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol550 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol551 = [1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol552 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol553 = [2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol554 = [0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2] pubkeycol555 = [0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol556 = [1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol557 = [0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol558 = [1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol559 = [0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol560 = [1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol561 = [2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol562 = [0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol563 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol564 = [1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol565 = [2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol566 = [2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol567 = [1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol568 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol569 = [2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol570 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol571 = [0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol572 = [2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol573 = [2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1] pubkeycol574 = [1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol575 = [1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2] pubkeycol576 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol577 = [1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol578 = [0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2] pubkeycol579 = [1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol580 = [2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol581 = [0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol582 = [1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol583 = [2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol584 = [2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol585 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol586 = [2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol587 = [0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol588 = [0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol589 = [0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2] pubkeycol590 = [2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol591 = [0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol592 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol593 = [0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol594 = [1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol595 = [2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol596 = [2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol597 = [2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2] pubkeycol598 = [1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol599 = [2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2] pubkeycol600 = [2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol601 = [1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol602 = [0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol603 = [0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol604 = [1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol605 = [0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0] pubkeycol606 = [2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol607 = [2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol608 = [1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol609 = [1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol610 = [1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol611 = [0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol612 = [2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol613 = [2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol614 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol615 = [2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol616 = [1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol617 = [0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol618 = [2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol619 = [2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol620 = [2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol621 = [1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol622 = [1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol623 = [1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol624 = [2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol625 = [1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol626 = [0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol627 = [2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol628 = [0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol629 = [0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol630 = [2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol631 = [1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol632 = [2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol633 = [2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol634 = [0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2] pubkeycol635 = [1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol636 = [2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1] pubkeycol637 = [0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol638 = [0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol639 = [1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol640 = [1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol641 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol642 = [1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol643 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol644 = [0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol645 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol646 = [1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol647 = [0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol648 = [0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol649 = [2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol650 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol651 = [1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol652 = [2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol653 = [2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol654 = [2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol655 = [1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol656 = [2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol657 = [1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol658 = [1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol659 = [1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol660 = [0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1] pubkeycol661 = [1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol662 = [2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol663 = [0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol664 = [2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol665 = [1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol666 = [1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol667 = [0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol668 = [0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol669 = [0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol670 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol671 = [0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0] pubkeycol672 = [0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol673 = [1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol674 = [2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol675 = [1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol676 = [1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol677 = [2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol678 = [2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol679 = [0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol680 = [0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol681 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol682 = [2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol683 = [1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol684 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol685 = [0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol686 = [0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0] pubkeycol687 = [2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol688 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2] pubkeycol689 = [1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol690 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol691 = [1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol692 = [1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol693 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol694 = [1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol695 = [1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol696 = [2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol697 = [2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2] pubkeycol698 = [1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol699 = [1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol700 = [0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol701 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol702 = [2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol703 = [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol704 = [1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol705 = [2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0] pubkeycol706 = [1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol707 = [2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol708 = [1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol709 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol710 = [2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0] pubkeycol711 = [2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol712 = [1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0] pubkeycol713 = [2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol714 = [1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol715 = [1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol716 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol717 = [0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol718 = [2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol719 = [0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol720 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol721 = [2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol722 = [0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol723 = [0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol724 = [2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol725 = [1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol726 = [1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol727 = [0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol728 = [0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol729 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol730 = [0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol731 = [2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol732 = [1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol733 = [0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol734 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol735 = [1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol736 = [0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol737 = [2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1] pubkeycol738 = [2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol739 = [0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol740 = [1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol741 = [1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol742 = [1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol743 = [1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol744 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol745 = [0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol746 = [2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol747 = [0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1] pubkeycol748 = [1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol749 = [2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol750 = [1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0] pubkeycol751 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol752 = [0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol753 = [2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol754 = [2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol755 = [1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol756 = [1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol757 = [2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol758 = [0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol759 = [0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol760 = [0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol761 = [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol762 = [0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol763 = [0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol764 = [2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol765 = [2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1] pubkeycol766 = [0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol767 = [2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol768 = [2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol769 = [1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol770 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol771 = [2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol772 = [0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol773 = [1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0] pubkeycol774 = [1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol775 = [2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol776 = [0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol777 = [0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2] pubkeycol778 = [2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol779 = [0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol780 = [1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol781 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol782 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol783 = [2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol784 = [1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol785 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol786 = [2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1] pubkeycol787 = [2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol788 = [0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol789 = [2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol790 = [1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol791 = [0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol792 = [1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol793 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol794 = [1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1] pubkeycol795 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol796 = [1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol797 = [0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol798 = [0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol799 = [2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol800 = [1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol801 = [1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol802 = [0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol803 = [0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol804 = [1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol805 = [2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol806 = [2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol807 = [0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol808 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol809 = [0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol810 = [1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol811 = [0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol812 = [1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol813 = [2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol814 = [2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol815 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2] pubkeycol816 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol817 = [1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol818 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol819 = [1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol820 = [0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol821 = [1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol822 = [0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol823 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol824 = [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol825 = [1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol826 = [1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol827 = [1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol828 = [0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol829 = [2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol830 = [0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol831 = [0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol832 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol833 = [2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol834 = [0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol835 = [0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol836 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol837 = [1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol838 = [2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol839 = [2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol840 = [2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol841 = [1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol842 = [0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol843 = [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol844 = [2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol845 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol846 = [2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2] pubkeycol847 = [0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol848 = [1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol849 = [2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol850 = [0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol851 = [0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol852 = [1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol853 = [1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol854 = [0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol855 = [1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol856 = [2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol857 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol858 = [2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol859 = [2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol860 = [0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0] pubkeycol861 = [1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2] pubkeycol862 = [0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2] pubkeycol863 = [0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol864 = [0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol865 = [2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol866 = [1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol867 = [2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol868 = [0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol869 = [1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol870 = [2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol871 = [0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol872 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol873 = [2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol874 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol875 = [1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol876 = [0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol877 = [0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol878 = [2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol879 = [1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol880 = [1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol881 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol882 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol883 = [0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol884 = [1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol885 = [0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol886 = [2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol887 = [0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol888 = [0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol889 = [1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol890 = [2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol891 = [1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol892 = [2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol893 = [2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol894 = [2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol895 = [1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol896 = [2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol897 = [0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol898 = [2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol899 = [2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol900 = [0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol901 = [1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol902 = [0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol903 = [2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol904 = [1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol905 = [2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol906 = [0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol907 = [2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0] pubkeycol908 = [0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol909 = [0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol910 = [1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol911 = [1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol912 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol913 = [1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol914 = [2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol915 = [2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol916 = [1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol917 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol918 = [0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol919 = [2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol920 = [0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol921 = [2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol922 = [0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol923 = [0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol924 = [1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol925 = [2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol926 = [0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol927 = [1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol928 = [0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol929 = [0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol930 = [2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol931 = [0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0] pubkeycol932 = [2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol933 = [1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol934 = [1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol935 = [1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol936 = [0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol937 = [2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol938 = [0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol939 = [2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol940 = [2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol941 = [2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol942 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol943 = [2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol944 = [1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol945 = [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol946 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol947 = [1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol948 = [2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol949 = [0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol950 = [2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol951 = [0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol952 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol953 = [0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol954 = [0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol955 = [2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol956 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol957 = [2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol958 = [2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0] pubkeycol959 = [0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol960 = [2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol961 = [1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol962 = [0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol963 = [2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1] pubkeycol964 = [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol965 = [2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol966 = [1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol967 = [1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol968 = [2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol969 = [1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol970 = [0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol971 = [0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol972 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol973 = [1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol974 = [2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol975 = [0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1] pubkeycol976 = [2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol977 = [0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol978 = [0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol979 = [2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol980 = [2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol981 = [1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol982 = [2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol983 = [2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol984 = [2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol985 = [0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol986 = [1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol987 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol988 = [0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol989 = [0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol990 = [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol991 = [0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol992 = [0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol993 = [1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol994 = [0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol995 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol996 = [1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol997 = [0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol998 = [0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol999 = [2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol1000 = [0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol1001 = [1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol1002 = [0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol1003 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0] pubkeycol1004 = [2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol1005 = [1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol1006 = [0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol1007 = [2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol1008 = [0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol1009 = [1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol1010 = [2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol1011 = [1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol1012 = [1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol1013 = [2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol1014 = [1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol1015 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1016 = [1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol1017 = [1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1018 = [0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol1019 = [1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0] pubkeycol1020 = [0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol1021 = [0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol1022 = [0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol1023 = [2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0] pubkeycol1024 = [0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol1025 = [0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol1026 = [2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol1027 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol1028 = [1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol1029 = [2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol1030 = [2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol1031 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1032 = [1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol1033 = [2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol1034 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1035 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol1036 = [0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0] pubkeycol1037 = [2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1038 = [1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0] pubkeycol1039 = [1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol1040 = [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol1041 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0] pubkeycol1042 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol1043 = [1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol1044 = [0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2] pubkeycol1045 = [0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol1046 = [1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol1047 = [0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1048 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1049 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol1050 = [2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol1051 = [2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol1052 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2] pubkeycol1053 = [2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol1054 = [1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0] pubkeycol1055 = [1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol1056 = [1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1] pubkeycol1057 = [0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1058 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol1059 = [1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0] pubkeycol1060 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol1061 = [0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol1062 = [2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol1063 = [2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol1064 = [1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol1065 = [0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol1066 = [2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol1067 = [2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol1068 = [0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol1069 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol1070 = [1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol1071 = [0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1072 = [1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol1073 = [2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol1074 = [0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol1075 = [0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol1076 = [1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol1077 = [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol1078 = [1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol1079 = [0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol1080 = [0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol1081 = [1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol1082 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol1083 = [0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol1084 = [1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol1085 = [1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1086 = [0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol1087 = [0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol1088 = [0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0] pubkeycol1089 = [2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol1090 = [2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol1091 = [0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol1092 = [0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol1093 = [1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol1094 = [1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol1095 = [1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2] pubkeycol1096 = [0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol1097 = [1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol1098 = [1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol1099 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol1100 = [0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol1101 = [1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol1102 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol1103 = [0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol1104 = [1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol1105 = [2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol1106 = [0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol1107 = [2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol1108 = [2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2] pubkeycol1109 = [2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2] pubkeycol1110 = [2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol1111 = [2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1] pubkeycol1112 = [1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol1113 = [2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol1114 = [0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol1115 = [0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol1116 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol1117 = [1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol1118 = [1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol1119 = [0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol1120 = [2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol1121 = [0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol1122 = [0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol1123 = [0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol1124 = [0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2] pubkeycol1125 = [0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol1126 = [0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1127 = [1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2] pubkeycol1128 = [1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol1129 = [1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol1130 = [1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol1131 = [1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol1132 = [0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol1133 = [1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1134 = [1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol1135 = [1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol1136 = [2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol1137 = [2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1138 = [1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol1139 = [2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol1140 = [2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol1141 = [2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol1142 = [2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol1143 = [1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol1144 = [1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol1145 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol1146 = [2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol1147 = [0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol1148 = [1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol1149 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol1150 = [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol1151 = [0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol1152 = [0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol1153 = [2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol1154 = [0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol1155 = [0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol1156 = [2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol1157 = [0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1] pubkeycol1158 = [1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol1159 = [2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol1160 = [1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol1161 = [1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol1162 = [0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol1163 = [0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol1164 = [2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol1165 = [1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol1166 = [1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol1167 = [2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol1168 = [0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol1169 = [0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol1170 = [2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol1171 = [2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1172 = [1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol1173 = [0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol1174 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol1175 = [0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol1176 = [1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1177 = [2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol1178 = [0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol1179 = [0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol1180 = [1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol1181 = [1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol1182 = [2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol1183 = [2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol1184 = [0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol1185 = [1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol1186 = [2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol1187 = [1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol1188 = [2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol1189 = [2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2] pubkeycol1190 = [0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0] pubkeycol1191 = [0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol1192 = [1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol1193 = [1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol1194 = [0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol1195 = [2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1196 = [1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol1197 = [2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol1198 = [1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0] pubkeycol1199 = [0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1200 = [0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1,