kilobytes = 167.721227127094 q = 3 m = 7 n = 2108 s = 0 t = 40 u = 80 k = 1548 w = 60 ciphertext = [1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol560 = [1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol561 = [2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol562 = [0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2] pubkeycol563 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol564 = [1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol565 = [2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2] pubkeycol566 = [1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol567 = [1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol568 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol569 = [0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol570 = [0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol571 = [2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol572 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol573 = [1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol574 = [1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol575 = [1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol576 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol577 = [2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol578 = [1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol579 = [0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol580 = [2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol581 = [1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol582 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol583 = [0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol584 = [0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol585 = [2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol586 = [0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol587 = [0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1] pubkeycol588 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol589 = [1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol590 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1] pubkeycol591 = [0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2] pubkeycol592 = [0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol593 = [0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol594 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1] pubkeycol595 = [1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol596 = [2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol597 = [0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol598 = [1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol599 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol600 = [2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol601 = [2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol602 = [1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol603 = [1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol604 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol605 = [0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1] pubkeycol606 = [0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol607 = [1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1] pubkeycol608 = [2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol609 = [1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol610 = [2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol611 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol612 = [0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol613 = [0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2] pubkeycol614 = [0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol615 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol616 = [2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol617 = [1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol618 = [1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol619 = [2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol620 = [2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol621 = [1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0] pubkeycol622 = [1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol623 = [0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol624 = [0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol625 = [0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol626 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol627 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol628 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol629 = [1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol630 = [1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol631 = [0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol632 = [2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol633 = [2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol634 = [2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol635 = [2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0] pubkeycol636 = [2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol637 = [0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol638 = [2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol639 = [0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol640 = [0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol641 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol642 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2] pubkeycol643 = [0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol644 = [2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol645 = [2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol646 = [2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1] pubkeycol647 = [1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol648 = [1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol649 = [1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol650 = [1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol651 = [2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol652 = [1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol653 = [2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol654 = [1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol655 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol656 = [0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol657 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol658 = [0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol659 = [2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol660 = [0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol661 = [0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2] pubkeycol662 = [1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol663 = [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol664 = [1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol665 = [2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol666 = [2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol667 = [1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol668 = [0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol669 = [1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol670 = [0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1] pubkeycol671 = [1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol672 = [0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol673 = [1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0] pubkeycol674 = [1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol675 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol676 = [1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol677 = [1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol678 = [1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol679 = [2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol680 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0] pubkeycol681 = [2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol682 = [2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol683 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol684 = [0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol685 = [0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol686 = [1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2] pubkeycol687 = [0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol688 = [0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol689 = [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol690 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2] pubkeycol691 = [1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol692 = [0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol693 = [2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol694 = [2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol695 = [0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol696 = [0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol697 = [0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2] pubkeycol698 = [2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol699 = [1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol700 = [0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol701 = [1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol702 = [1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol703 = [1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0] pubkeycol704 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol705 = [2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol706 = [1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol707 = [2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol708 = [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol709 = [0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol710 = [1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol711 = [0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol712 = [1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol713 = [2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1] pubkeycol714 = [1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol715 = [2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2] pubkeycol716 = [1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2] pubkeycol717 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol718 = [2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol719 = [2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol720 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol721 = [1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol722 = [0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol723 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol724 = [1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol725 = [2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol726 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol727 = [2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol728 = [1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol729 = [1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol730 = [1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol731 = [2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol732 = [1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol733 = [2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol734 = [2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol735 = [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol736 = [1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol737 = [2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol738 = [2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol739 = [1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol740 = [2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol741 = [1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol742 = [0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol743 = [1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol744 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol745 = [2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol746 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol747 = [0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol748 = [0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol749 = [2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1] pubkeycol750 = [1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1] pubkeycol751 = [1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2] pubkeycol752 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol753 = [0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol754 = [2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol755 = [0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2] pubkeycol756 = [2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol757 = [2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol758 = [1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol759 = [0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol760 = [2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol761 = [0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol762 = [1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol763 = [1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol764 = [0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol765 = [1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2] pubkeycol766 = [2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol767 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol768 = [2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0] pubkeycol769 = [2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol770 = [2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol771 = [1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1] pubkeycol772 = [1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol773 = [1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol774 = [2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol775 = [1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol776 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol777 = [0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1] pubkeycol778 = [1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol779 = [2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol780 = [2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol781 = [1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol782 = [1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol783 = [1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol784 = [2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol785 = [0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol786 = [0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol787 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1] pubkeycol788 = [1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol789 = [0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol790 = [0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol791 = [2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2] pubkeycol792 = [0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol793 = [0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol794 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol795 = [2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol796 = [2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol797 = [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol798 = [0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol799 = [1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol800 = [2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol801 = [0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol802 = [2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol803 = [0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol804 = [2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2] pubkeycol805 = [0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol806 = [0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol807 = [0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol808 = [0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol809 = [1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol810 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2] pubkeycol811 = [1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol812 = [2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol813 = [0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol814 = [0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol815 = [2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol816 = [0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol817 = [2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol818 = [0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol819 = [2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol820 = [1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol821 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2] pubkeycol822 = [0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol823 = [2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol824 = [0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1] pubkeycol825 = [0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol826 = [0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol827 = [2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol828 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol829 = [2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol830 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol831 = [1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol832 = [0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol833 = [0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol834 = [1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol835 = [2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol836 = [2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol837 = [1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2] pubkeycol838 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol839 = [1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol840 = [2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol841 = [1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol842 = [0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol843 = [2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol844 = [2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol845 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol846 = [2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol847 = [1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol848 = [2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol849 = [0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol850 = [0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol851 = [0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol852 = [0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol853 = [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol854 = [1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol855 = [2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol856 = [1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol857 = [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol858 = [0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol859 = [2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol860 = [1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2] pubkeycol861 = [1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol862 = [1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol863 = [1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol864 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2] pubkeycol865 = [0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0] pubkeycol866 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol867 = [0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol868 = [2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2] pubkeycol869 = [2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol870 = [0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol871 = [0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol872 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol873 = [0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol874 = [2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol875 = [0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol876 = [1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol877 = [1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2] pubkeycol878 = [1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol879 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol880 = [2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol881 = [1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol882 = [2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol883 = [0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol884 = [2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol885 = [2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol886 = [1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol887 = [2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol888 = [0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol889 = [0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol890 = [0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol891 = [0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol892 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol893 = [0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol894 = [2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol895 = [0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol896 = [0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1] pubkeycol897 = [1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol898 = [1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol899 = [2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol900 = [0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol901 = [0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol902 = [2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol903 = [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol904 = [0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol905 = [2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol906 = [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2] pubkeycol907 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol908 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol909 = [1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol910 = [2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol911 = [0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol912 = [1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1] pubkeycol913 = [2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol914 = [0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol915 = [2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol916 = [2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol917 = [1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1] pubkeycol918 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol919 = [2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol920 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol921 = [0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol922 = [0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol923 = [0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol924 = [0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1] pubkeycol925 = [1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol926 = [0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol927 = [0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol928 = [0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol929 = [2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0] pubkeycol930 = [2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol931 = [0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol932 = [0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol933 = [0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol934 = [2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol935 = [1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol936 = [0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol937 = [1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol938 = [0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol939 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol940 = [1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol941 = [0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol942 = [0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol943 = [2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol944 = [2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol945 = [2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol946 = [1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol947 = [1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol948 = [2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol949 = [2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol950 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2] pubkeycol951 = [0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol952 = [1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol953 = [2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0] pubkeycol954 = [0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol955 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol956 = [1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol957 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2] pubkeycol958 = [1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1] pubkeycol959 = [2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2] pubkeycol960 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol961 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol962 = [2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol963 = [1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol964 = [1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol965 = [1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol966 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol967 = [2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol968 = [0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol969 = [2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol970 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol971 = [0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol972 = [0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol973 = [2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol974 = [1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol975 = [0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol976 = [1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol977 = [0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol978 = [0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol979 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol980 = [1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol981 = [1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol982 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol983 = [1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1] pubkeycol984 = [1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1] pubkeycol985 = [1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol986 = [1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol987 = [0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol988 = [1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol989 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol990 = [1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol991 = [2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol992 = [1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol993 = [0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol994 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol995 = [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol996 = [2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol997 = [2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol998 = [2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol999 = [0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol1000 = [0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol1001 = [2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol1002 = [1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol1003 = [0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol1004 = [2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol1005 = [1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1006 = [2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol1007 = [2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol1008 = [0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol1009 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol1010 = [0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1011 = [2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol1012 = [0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol1013 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol1014 = [0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol1015 = [0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1016 = [1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol1017 = [1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2] pubkeycol1018 = [2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol1019 = [1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol1020 = [2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol1021 = [2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol1022 = [1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2] pubkeycol1023 = [0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol1024 = [0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol1025 = [1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0] pubkeycol1026 = [1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol1027 = [1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol1028 = [2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1] pubkeycol1029 = [0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol1030 = [1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol1031 = [0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol1032 = [2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol1033 = [0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1034 = [1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol1035 = [2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2] pubkeycol1036 = [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol1037 = [2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol1038 = [1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol1039 = [0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol1040 = [2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol1041 = [2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol1042 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol1043 = [1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol1044 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol1045 = [1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol1046 = [1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol1047 = [2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol1048 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1049 = [1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol1050 = [0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1051 = [1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol1052 = [0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1053 = [1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol1054 = [0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol1055 = [1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1056 = [0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol1057 = [1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol1058 = [2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol1059 = [2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1060 = [1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol1061 = [1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol1062 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol1063 = [1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol1064 = [1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol1065 = [2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol1066 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol1067 = [2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol1068 = [1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol1069 = [1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol1070 = [2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol1071 = [2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol1072 = [2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1073 = [2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1] pubkeycol1074 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1] pubkeycol1075 = [0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol1076 = [0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2] pubkeycol1077 = [2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol1078 = [2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol1079 = [1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol1080 = [2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol1081 = [1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0] pubkeycol1082 = [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol1083 = [0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2] pubkeycol1084 = [1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol1085 = [0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol1086 = [2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol1087 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol1088 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol1089 = [0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol1090 = [2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol1091 = [1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol1092 = [1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol1093 = [2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol1094 = [1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol1095 = [1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol1096 = [2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0] pubkeycol1097 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol1098 = [1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol1099 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol1100 = [0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol1101 = [0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol1102 = [0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1103 = [2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol1104 = [2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol1105 = [0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol1106 = [0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol1107 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol1108 = [1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol1109 = [2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol1110 = [2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1111 = [0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol1112 = [1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol1113 = [0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol1114 = [2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol1115 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol1116 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol1117 = [2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol1118 = [1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol1119 = [1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol1120 = [1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1121 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol1122 = [0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0] pubkeycol1123 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1] pubkeycol1124 = [1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol1125 = [0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol1126 = [2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol1127 = [2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol1128 = [1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol1129 = [2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1130 = [1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol1131 = [2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol1132 = [0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol1133 = [2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol1134 = [0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol1135 = [1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol1136 = [1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol1137 = [2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol1138 = [2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol1139 = [1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol1140 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol1141 = [0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2] pubkeycol1142 = [0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0] pubkeycol1143 = [0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol1144 = [0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol1145 = [1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol1146 = [1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol1147 = [2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol1148 = [2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol1149 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol1150 = [0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol1151 = [2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol1152 = [1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol1153 = [1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol1154 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol1155 = [0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol1156 = [1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol1157 = [2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol1158 = [0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2] pubkeycol1159 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol1160 = [2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol1161 = [1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol1162 = [1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol1163 = [2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol1164 = [1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol1165 = [2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol1166 = [2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1] pubkeycol1167 = [0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol1168 = [0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol1169 = [2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol1170 = [0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol1171 = [1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol1172 = [0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol1173 = [0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol1174 = [0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol1175 = [2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2] pubkeycol1176 = [1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol1177 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2,