kilobytes = 158.360042357210 q = 3 m = 7 n = 2128 s = 0 t = 36 u = 72 k = 1624 w = 54 ciphertext = [1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol504 = [2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol505 = [2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol506 = [0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol507 = [1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol508 = [0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol509 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol510 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol511 = [1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol512 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol513 = [2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol514 = [2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol515 = [1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol516 = [2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol517 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol518 = [2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol519 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol520 = [1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol521 = [1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol522 = [2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol523 = [1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol524 = [0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol525 = [0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol526 = [2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol527 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol528 = [0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol529 = [1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol530 = [1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol531 = [0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol532 = [1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol533 = [0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol534 = [0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol535 = [2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2] pubkeycol536 = [2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol537 = [1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol538 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol539 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol540 = [2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol541 = [0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol542 = [0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol543 = [0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol544 = [0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol545 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0] pubkeycol546 = [1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol547 = [0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1] pubkeycol548 = [0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2] pubkeycol549 = [2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol550 = [0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol551 = [0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol552 = [2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol553 = [1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol554 = [2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol555 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol556 = [2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol557 = [1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol558 = [2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol559 = [2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol560 = [2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol561 = [0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol562 = [1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol563 = [1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol564 = [0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol565 = [1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol566 = [1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol567 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol568 = [0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol569 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol570 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1] pubkeycol571 = [2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1] pubkeycol572 = [1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2] pubkeycol573 = [2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol574 = [2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol575 = [0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol576 = [1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol577 = [2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol578 = [2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol579 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol580 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol581 = [1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol582 = [2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol583 = [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol584 = [1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol585 = [1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol586 = [0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol587 = [2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol588 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol589 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol590 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol591 = [1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2] pubkeycol592 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1] pubkeycol593 = [2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol594 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol595 = [2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol596 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0] pubkeycol597 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol598 = [2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol599 = [1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0] pubkeycol600 = [2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol601 = [1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol602 = [2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol603 = [0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol604 = [2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol605 = [0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1] pubkeycol606 = [0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol607 = [0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol608 = [1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol609 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol610 = [0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol611 = [0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol612 = [0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol613 = [1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol614 = [2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol615 = [0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol616 = [2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol617 = [0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol618 = [0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol619 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol620 = [0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol621 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2] pubkeycol622 = [0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol623 = [1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol624 = [2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol625 = [1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol626 = [1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1] pubkeycol627 = [2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2] pubkeycol628 = [1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol629 = [2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol630 = [2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol631 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol632 = [1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0] pubkeycol633 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol634 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol635 = [1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol636 = [0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol637 = [0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol638 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0] pubkeycol639 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol640 = [0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol641 = [2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol642 = [2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol643 = [2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2] pubkeycol644 = [2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol645 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol646 = [0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol647 = [2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol648 = [0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol649 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol650 = [2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0] pubkeycol651 = [1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol652 = [0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol653 = [1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol654 = [2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol655 = [0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol656 = [0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0] pubkeycol657 = [0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol658 = [1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol659 = [1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol660 = [2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol661 = [2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol662 = [1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol663 = [1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0] pubkeycol664 = [2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol665 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0] pubkeycol666 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol667 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol668 = [2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol669 = [2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol670 = [1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol671 = [1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol672 = [1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0] pubkeycol673 = [2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol674 = [2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol675 = [0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol676 = [2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol677 = [1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol678 = [2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0] pubkeycol679 = [2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol680 = [0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol681 = [1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol682 = [1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol683 = [2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol684 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol685 = [1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1] pubkeycol686 = [2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol687 = [1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1] pubkeycol688 = [1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol689 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol690 = [2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol691 = [0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol692 = [1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol693 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol694 = [1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol695 = [1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol696 = [1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0] pubkeycol697 = [2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol698 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1] pubkeycol699 = [2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol700 = [1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol701 = [0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol702 = [1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol703 = [1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol704 = [1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol705 = [0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol706 = [0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol707 = [0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol708 = [0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol709 = [1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol710 = [0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol711 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol712 = [0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol713 = [1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol714 = [2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol715 = [2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol716 = [2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol717 = [2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol718 = [0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol719 = [1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2] pubkeycol720 = [2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol721 = [1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol722 = [2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol723 = [2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol724 = [2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol725 = [2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol726 = [1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol727 = [2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol728 = [2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol729 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol730 = [0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol731 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol732 = [0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol733 = [2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol734 = [0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol735 = [2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0] pubkeycol736 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol737 = [1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol738 = [0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol739 = [1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2] pubkeycol740 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol741 = [0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2] pubkeycol742 = [1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol743 = [2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol744 = [2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol745 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol746 = [1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol747 = [0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol748 = [0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol749 = [0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol750 = [0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol751 = [1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0] pubkeycol752 = [1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol753 = [2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol754 = [2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol755 = [1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol756 = [0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol757 = [1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol758 = [2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol759 = [2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol760 = [2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1] pubkeycol761 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol762 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol763 = [0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol764 = [2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol765 = [0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol766 = [0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol767 = [1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol768 = [2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol769 = [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol770 = [2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol771 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol772 = [0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol773 = [1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol774 = [2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol775 = [0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol776 = [0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol777 = [1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2] pubkeycol778 = [1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol779 = [1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0] pubkeycol780 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol781 = [1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol782 = [2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol783 = [2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol784 = [2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol785 = [1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol786 = [0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol787 = [1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol788 = [0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol789 = [0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol790 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol791 = [0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol792 = [0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol793 = [1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol794 = [0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol795 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol796 = [1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol797 = [1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1] pubkeycol798 = [2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol799 = [0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol800 = [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol801 = [1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol802 = [0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol803 = [1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol804 = [2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol805 = [0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol806 = [2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol807 = [1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol808 = [0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2] pubkeycol809 = [2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol810 = [0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol811 = [1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0] pubkeycol812 = [1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol813 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol814 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol815 = [2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol816 = [1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0] pubkeycol817 = [2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol818 = [2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol819 = [2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol820 = [0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol821 = [0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol822 = [0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol823 = [1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol824 = [2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1] pubkeycol825 = [1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol826 = [0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol827 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol828 = [2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol829 = [1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol830 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol831 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0] pubkeycol832 = [1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol833 = [0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol834 = [0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol835 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol836 = [2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol837 = [0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol838 = [0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol839 = [1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol840 = [0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1] pubkeycol841 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol842 = [1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol843 = [0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol844 = [0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol845 = [1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1] pubkeycol846 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol847 = [1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol848 = [0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol849 = [2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol850 = [2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol851 = [0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol852 = [2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol853 = [0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1] pubkeycol854 = [2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol855 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol856 = [0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0] pubkeycol857 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0] pubkeycol858 = [0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol859 = [0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol860 = [0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol861 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol862 = [1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol863 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol864 = [0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol865 = [2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol866 = [2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol867 = [1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0] pubkeycol868 = [0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol869 = [1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol870 = [0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol871 = [2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol872 = [2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol873 = [2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol874 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol875 = [1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol876 = [0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol877 = [2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0] pubkeycol878 = [1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol879 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol880 = [2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol881 = [0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol882 = [2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol883 = [2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol884 = [2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol885 = [1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol886 = [1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol887 = [1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol888 = [2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol889 = [1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol890 = [0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol891 = [0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol892 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol893 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0] pubkeycol894 = [2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol895 = [2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol896 = [1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol897 = [2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol898 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol899 = [2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol900 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol901 = [1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol902 = [1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol903 = [0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1] pubkeycol904 = [2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol905 = [1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol906 = [1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol907 = [1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol908 = [0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol909 = [0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol910 = [1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol911 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol912 = [0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol913 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol914 = [0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol915 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol916 = [1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol917 = [1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol918 = [0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol919 = [0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol920 = [0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol921 = [1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol922 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol923 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol924 = [0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol925 = [0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol926 = [1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol927 = [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol928 = [2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol929 = [1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol930 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol931 = [1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol932 = [1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol933 = [1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1] pubkeycol934 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol935 = [2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol936 = [2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol937 = [1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1] pubkeycol938 = [0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol939 = [0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol940 = [2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol941 = [2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol942 = [0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol943 = [1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol944 = [1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol945 = [2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol946 = [1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol947 = [1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol948 = [0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol949 = [2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol950 = [2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol951 = [1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol952 = [2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol953 = [2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol954 = [2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol955 = [2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol956 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol957 = [0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol958 = [0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol959 = [1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol960 = [0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol961 = [1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2] pubkeycol962 = [0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2] pubkeycol963 = [1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0] pubkeycol964 = [2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol965 = [2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol966 = [2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol967 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol968 = [1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol969 = [2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol970 = [2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol971 = [1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol972 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol973 = [2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol974 = [0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol975 = [1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol976 = [2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol977 = [2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol978 = [1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol979 = [0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol980 = [0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol981 = [2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol982 = [0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol983 = [2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol984 = [1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol985 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1] pubkeycol986 = [0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol987 = [0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol988 = [0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol989 = [0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol990 = [1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol991 = [2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol992 = [0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol993 = [0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol994 = [0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol995 = [2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol996 = [1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0] pubkeycol997 = [0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol998 = [0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol999 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol1000 = [2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol1001 = [1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol1002 = [0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol1003 = [1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol1004 = [0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol1005 = [2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0] pubkeycol1006 = [2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol1007 = [1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol1008 = [0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol1009 = [1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1010 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol1011 = [2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol1012 = [1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2] pubkeycol1013 = [1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol1014 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol1015 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol1016 = [2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol1017 = [2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol1018 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol1019 = [0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol1020 = [1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol1021 = [0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol1022 = [1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol1023 = [1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol1024 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2] pubkeycol1025 = [0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol1026 = [2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol1027 = [0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol1028 = [0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol1029 = [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol1030 = [0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol1031 = [2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol1032 = [0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol1033 = [1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol1034 = [0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol1035 = [1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol1036 = [2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1] pubkeycol1037 = [2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol1038 = [0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol1039 = [2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol1040 = [0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1041 = [0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol1042 = [1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol1043 = [2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol1044 = [2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1045 = [1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol1046 = [0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol1047 = [1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0] pubkeycol1048 = [2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol1049 = [1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol1050 = [0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol1051 = [1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol1052 = [1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol1053 = [2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol1054 = [2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol1055 = [2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol1056 = [0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1057 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol1058 = [1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol1059 = [2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0] pubkeycol1060 = [2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0] pubkeycol1061 = [2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1062 = [1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol1063 = [0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol1064 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1] pubkeycol1065 = [1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol1066 = [0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol1067 = [0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol1068 = [1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0] pubkeycol1069 = [0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol1070 = [2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0] pubkeycol1071 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol1072 = [2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol1073 = [1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol1074 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol1075 = [1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol1076 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol1077 = [1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol1078 = [1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol1079 = [1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol1080 = [1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol1081 = [0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol1082 = [0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol1083 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol1084 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol1085 = [1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol1086 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol1087 = [1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol1088 = [2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol1089 = [0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol1090 = [1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol1091 = [2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol1092 = [0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol1093 = [2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol1094 = [0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol1095 = [2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol1096 = [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol1097 = [0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol1098 = [0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol1099 = [2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol1100 = [0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol1101 = [0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol1102 = [1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol1103 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1] pubkeycol1104 = [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1105 = [1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1106 = [0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1] pubkeycol1107 = [2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol1108 = [0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol1109 = [1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol1110 = [0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol1111 = [0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol1112 = [2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol1113 = [1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol1114 = [1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol1115 = [1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol1116 = [1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol1117 = [0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 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, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol1118 = [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol1119 = [0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol1120 = [2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol1121 = [1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol1122 = [0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol1123 = [1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1124 = [2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol1125 = [1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol1126 = [0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1] pubkeycol1127 = [0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol1128 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0] pubkeycol1129 = [0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol1130 = [0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol1131 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol1132 = [2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2] pubkeycol1133 = [2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol1134 = [0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol1135 = [0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol1136 = [1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol1137 = [0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1138 = [1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol1139 = [0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol1140 = [2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1141 = [1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol1142 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0] pubkeycol1143 = [2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol1144 = [2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol1145 = [2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1] pubkeycol1146 = [1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol1147 = [2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol1148 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol1149 = [0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2] pubkeycol1150 = [0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol1151 = [1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol1152 = [2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol1153 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol1154 = [2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol1155 = [1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol1156 = [1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol1157 = [1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1158 = [2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol1159 = [1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol1160 = [0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol1161 = [2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol1162 = [0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1163 = [2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol1164 = [0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol1165 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol1166 = [0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2] pubkeycol1167 = [0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol1168 = [0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol1169 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol1170 = [1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol1171 = [2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol1172 = [2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol1173 = [0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol1174 = [2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol1175 = [0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol1176 = [1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol1177 = [2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol1178 = [2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol1179 = [1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1180 = [0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol1181 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol1182 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol1183 = [0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1] pubkeycol1184 = [1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1185 = [2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol1186 = [2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol1187 = [2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol1188 = [1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol1189 = [1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2