kilobytes = 175.955602619122 q = 3 m = 7 n = 2184 s = 0 t = 40 u = 80 k = 1624 w = 60 ciphertext = [1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol560 = [1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol561 = [0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol562 = [1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol563 = [0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol564 = [0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2] pubkeycol565 = [1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0] pubkeycol566 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol567 = [1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol568 = [0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0] pubkeycol569 = [1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol570 = [2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol571 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol572 = [2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol573 = [0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol574 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol575 = [2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol576 = [0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol577 = [1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol578 = [0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol579 = [2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol580 = [1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol581 = [2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol582 = [1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol583 = [2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol584 = [0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol585 = [0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol586 = [2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol587 = [2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol588 = [1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol589 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol590 = [0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol591 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol592 = [0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol593 = [0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol594 = [1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol595 = [1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol596 = [2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol597 = [2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1] pubkeycol598 = [0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol599 = [0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol600 = [2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol601 = [0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol602 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol603 = [2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0] pubkeycol604 = [0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol605 = [0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol606 = [2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol607 = [2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol608 = [2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol609 = [0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol610 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol611 = [2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol612 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol613 = [0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol614 = [0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol615 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol616 = [1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol617 = [0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol618 = [0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol619 = [1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol620 = [2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol621 = [0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol622 = [0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol623 = [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol624 = [2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol625 = [1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2] pubkeycol626 = [1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol627 = [0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1] pubkeycol628 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol629 = [2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol630 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol631 = [0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol632 = [1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol633 = [1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol634 = [1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol635 = [2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol636 = [0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol637 = [2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol638 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol639 = [1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol640 = [1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol641 = [0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol642 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol643 = [0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2] pubkeycol644 = [1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1] pubkeycol645 = [1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol646 = [1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol647 = [0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol648 = [1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol649 = [0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol650 = [0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol651 = [2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol652 = [2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol653 = [0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol654 = [0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol655 = [2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol656 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol657 = [2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol658 = [0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1] pubkeycol659 = [0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol660 = [0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol661 = [2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol662 = [2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol663 = [0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol664 = [0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol665 = [1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol666 = [2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol667 = [2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1] pubkeycol668 = [1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1] pubkeycol669 = [1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol670 = [2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol671 = [2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol672 = [0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol673 = [0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol674 = [1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol675 = [1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol676 = [2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol677 = [2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol678 = [0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol679 = [0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol680 = [1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol681 = [1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol682 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol683 = [0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1] pubkeycol684 = [0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol685 = [0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol686 = [1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol687 = [0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol688 = [2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol689 = [2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol690 = [2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1] pubkeycol691 = [0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol692 = [0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol693 = [2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol694 = [2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol695 = [2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol696 = [1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol697 = [1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol698 = [0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2] pubkeycol699 = [2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol700 = [1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol701 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol702 = [2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol703 = [0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol704 = [2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol705 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol706 = [0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol707 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol708 = [2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol709 = [0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol710 = [2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol711 = [0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol712 = [0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol713 = [1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol714 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol715 = [1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol716 = [0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol717 = [0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol718 = [0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2] pubkeycol719 = [0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol720 = [1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol721 = [1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2] pubkeycol722 = [0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol723 = [1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol724 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol725 = [2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol726 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol727 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol728 = [2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol729 = [1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol730 = [2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol731 = [2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol732 = [0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol733 = [2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol734 = [1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol735 = [0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol736 = [0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol737 = [2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol738 = [2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2] pubkeycol739 = [2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol740 = [2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2] pubkeycol741 = [0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol742 = [0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol743 = [1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol744 = [1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol745 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol746 = [2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol747 = [0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2] pubkeycol748 = [0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol749 = [0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol750 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol751 = [1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol752 = [1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol753 = [0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol754 = [1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol755 = [1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol756 = [1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol757 = [2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1] pubkeycol758 = [0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol759 = [0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol760 = [0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol761 = [0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol762 = [0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol763 = [2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol764 = [0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2] pubkeycol765 = [0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2] pubkeycol766 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol767 = [0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol768 = [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol769 = [0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol770 = [2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol771 = [2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0] pubkeycol772 = [2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0] pubkeycol773 = [2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol774 = [2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol775 = [1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol776 = [0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0] pubkeycol777 = [1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol778 = [2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol779 = [0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol780 = [0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol781 = [0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol782 = [2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol783 = [0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol784 = [0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1] pubkeycol785 = [1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol786 = [2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol787 = [0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol788 = [1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol789 = [1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol790 = [0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol791 = [2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol792 = [1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol793 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol794 = [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol795 = [2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol796 = [2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0] pubkeycol797 = [2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol798 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol799 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol800 = [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol801 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol802 = [1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol803 = [0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol804 = [1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol805 = [0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol806 = [2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol807 = [0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol808 = [0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol809 = [1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol810 = [0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol811 = [1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol812 = [1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol813 = [2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol814 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol815 = [2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol816 = [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol817 = [1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol818 = [2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0] pubkeycol819 = [2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol820 = [1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol821 = [1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol822 = [2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol823 = [0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol824 = [2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol825 = [0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol826 = [1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol827 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol828 = [2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol829 = [0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2] pubkeycol830 = [0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol831 = [2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol832 = [2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2] pubkeycol833 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol834 = [0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol835 = [0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol836 = [2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol837 = [1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol838 = [2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol839 = [1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol840 = [2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol841 = [2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol842 = [0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol843 = [2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol844 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol845 = [2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol846 = [2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol847 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol848 = [2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol849 = [2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol850 = [0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol851 = [0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol852 = [1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol853 = [1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol854 = [1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol855 = [2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol856 = [0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol857 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol858 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol859 = [1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol860 = [0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol861 = [0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol862 = [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol863 = [0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol864 = [2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol865 = [0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol866 = [1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol867 = [1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol868 = [1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol869 = [1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol870 = [0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol871 = [1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol872 = [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0] pubkeycol873 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol874 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol875 = [0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol876 = [0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol877 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol878 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol879 = [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol880 = [0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol881 = [0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol882 = [0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol883 = [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol884 = [0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol885 = [0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0] pubkeycol886 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol887 = [0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol888 = [0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol889 = [1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol890 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol891 = [1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol892 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1] pubkeycol893 = [2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol894 = [0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol895 = [1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol896 = [1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol897 = [1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol898 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol899 = [0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol900 = [0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol901 = [0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol902 = [1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol903 = [2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol904 = [2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol905 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol906 = [1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol907 = [2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol908 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol909 = [2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol910 = [2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol911 = [2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol912 = [2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol913 = [0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol914 = [0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol915 = [0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2] pubkeycol916 = [1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol917 = [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol918 = [1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol919 = [1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol920 = [0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol921 = [1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol922 = [1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol923 = [2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol924 = [1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol925 = [1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol926 = [1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol927 = [0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol928 = [2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol929 = [0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol930 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol931 = [0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol932 = [2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol933 = [2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol934 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0] pubkeycol935 = [2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol936 = [0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol937 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol938 = [0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol939 = [1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol940 = [1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol941 = [1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol942 = [2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol943 = [0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol944 = [1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol945 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1] pubkeycol946 = [1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol947 = [1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol948 = [1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol949 = [2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1] pubkeycol950 = [1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol951 = [0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol952 = [2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol953 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol954 = [1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol955 = [1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol956 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol957 = [1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol958 = [0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol959 = [0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol960 = [2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol961 = [0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol962 = [2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol963 = [1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol964 = [0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol965 = [2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol966 = [1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol967 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol968 = [2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol969 = [0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol970 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol971 = [2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol972 = [0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol973 = [0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol974 = [0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol975 = [2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol976 = [1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol977 = [0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol978 = [1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol979 = [2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol980 = [2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol981 = [0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol982 = [2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol983 = [1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1] pubkeycol984 = [2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol985 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol986 = [0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol987 = [2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol988 = [2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0] pubkeycol989 = [2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol990 = [1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1] pubkeycol991 = [0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0] pubkeycol992 = [1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol993 = [0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol994 = [2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0] pubkeycol995 = [0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol996 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2] pubkeycol997 = [1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol998 = [0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol999 = [1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol1000 = [2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol1001 = [2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol1002 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol1003 = [2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol1004 = [2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol1005 = [0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol1006 = [1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol1007 = [0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol1008 = [0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol1009 = [2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol1010 = [2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol1011 = [2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol1012 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol1013 = [1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1014 = [1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol1015 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol1016 = [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2] pubkeycol1017 = [1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol1018 = [2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol1019 = [2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol1020 = [1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol1021 = [2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1] pubkeycol1022 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol1023 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol1024 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol1025 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol1026 = [0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol1027 = [0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0] pubkeycol1028 = [0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol1029 = [0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol1030 = [0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol1031 = [2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol1032 = [0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol1033 = [0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1034 = [0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol1035 = [2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol1036 = [2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1037 = [2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol1038 = [0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol1039 = [0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol1040 = [1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol1041 = [1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol1042 = [2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol1043 = [1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol1044 = [0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol1045 = [1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol1046 = [1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol1047 = [0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol1048 = [1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol1049 = [2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol1050 = [0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol1051 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol1052 = [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol1053 = [2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol1054 = [2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol1055 = [1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol1056 = [1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0] pubkeycol1057 = [0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol1058 = [2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol1059 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol1060 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2] pubkeycol1061 = [0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol1062 = [2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol1063 = [1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1064 = [2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol1065 = [2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol1066 = [0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol1067 = [2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol1068 = [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol1069 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol1070 = [1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol1071 = [2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol1072 = [0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol1073 = [0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol1074 = [2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol1075 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1] pubkeycol1076 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol1077 = [2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol1078 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1079 = [0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol1080 = [1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1] pubkeycol1081 = [2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol1082 = [1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol1083 = [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol1084 = [0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol1085 = [0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol1086 = [1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol1087 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol1088 = [1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol1089 = [0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol1090 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol1091 = [1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol1092 = [1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol1093 = [2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol1094 = [2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol1095 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol1096 = [0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol1097 = [2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol1098 = [2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol1099 = [2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol1100 = [0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol1101 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol1102 = [1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol1103 = [1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol1104 = [1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol1105 = [0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol1106 = [0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0] pubkeycol1107 = [0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol1108 = [1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol1109 = [0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol1110 = [2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol1111 = [0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2] pubkeycol1112 = [0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol1113 = [1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol1114 = [2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol1115 = [1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2] pubkeycol1116 = [2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1117 = [0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol1118 = [2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol1119 = [2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2] pubkeycol1120 = [2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol1121 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol1122 = [2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1123 = [1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1] pubkeycol1124 = [1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol1125 = [2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol1126 = [1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol1127 = [1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol1128 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol1129 = [1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol1130 = [0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol1131 = [1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0] pubkeycol1132 = [1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol1133 = [1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol1134 = [0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1135 = [1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol1136 = [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol1137 = [0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol1138 = [1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1] pubkeycol1139 = [2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol1140 = [1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2] pubkeycol1141 = [2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol1142 = [2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol1143 = [0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol1144 = [1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol1145 = [2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol1146 = [2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol1147 = [1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol1148 = [2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol1149 = [1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol1150 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol1151 = [0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol1152 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol1153 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol1154 = [0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol1155 = [2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol1156 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol1157 = [2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol1158 = [2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2] pubkeycol1159 = [2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1] pubkeycol1160 = [2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol1161 = [0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol1162 = [0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0] pubkeycol1163 = [0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol1164 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol1165 = [0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol1166 = [0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1] pubkeycol1167 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol1168 = [0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol1169 = [2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1170 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol1171 = [2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol1172 = [1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol1173 = [0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol1174 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1175 = [1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol1176 = [2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol1177 = [0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1,